unit 2 lesson 3 solve multiplication inequalities

Answer 1

To solve multiplication inequalities in unit 2, lesson 3, you can follow these steps:

1. Identify the inequality sign (<, >, ≤, or ≥) in the problem.

2. Multiply both sides of the inequality by a positive number if the multiplier is positive, or a negative number if the multiplier is negative.

For example, if the inequality is 3x < 12, you can multiply both sides by 4 to get: 4(3x) < 4(12), which simplifies to 12x < 48.

3. Simplify both sides of the inequality, if possible.

For example, in the previous example, 12x < 48 simplifies to x < 4.

4. If you multiplied both sides of the inequality by a negative number, reverse the inequality sign.

For example, if the original inequality was -2x > 10, after multiplying both sides by -2, you would reverse the inequality sign, giving you 4x < -20.

5. Write the solution to the inequality using interval notation or set notation, depending on the context.

For example, if the solution to the inequality is x > 3, you can write it in interval notation as (3, ∞), or in set notation as {x | x > 3}. This means the solution includes all values greater than 3.

Remember to be careful when multiplying both sides of an inequality by a negative number. Doing so will reverse the inequality sign.